1. The von Bertalanffy equation is defined by the Ordinary Differential Equations as follows: W' (t) = aw (t) - BW (t) where is a constant between 0 and 1. a and ß are constants. Make use of the substitution y(t) = W (t)¹-2 and solve for the solution to the differential equation when at t = 0, W = 100 species. Make a, ß and 2, still arbitrary.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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1. The von Bertalanffy equation is defined by the Ordinary Differential Equations as follows:
w'(t) = aW(t)1 – BW (t)
-
where 1 is a constant between 0 and 1. a and ß are constants. Make use of the substitution
y(t) = W (t)'-1
and solve for the solution to the differential equation when at t = 0, W = 100 species. Make a, ß
and 2, still arbitrary.
oth
f.....A
f... tir
Transcribed Image Text:1. The von Bertalanffy equation is defined by the Ordinary Differential Equations as follows: w'(t) = aW(t)1 – BW (t) - where 1 is a constant between 0 and 1. a and ß are constants. Make use of the substitution y(t) = W (t)'-1 and solve for the solution to the differential equation when at t = 0, W = 100 species. Make a, ß and 2, still arbitrary. oth f.....A f... tir
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